1.
, then
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that
.
4. This ratio is equivalent to
.
5.
, then
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that
.
8. This ratio is equivalent to
.
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since
you have
.
Answer:
The MAD of {12, 10, 10, 8, 6, 7, 7, 12} is 2.
Step-by-step explanation:
<u><em>Step 1 : Add all the values Up:</em></u>
<u><em /></u>
<u><em>Step 2 : Divide them by the number of items or numbers:</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>Step 3: Find the absolute deviations:</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>Step 4: Add all the absolute deviations:</em></u>

<u><em>Step 5: Find the mean:</em></u>

There are 12 Nickels, 9 Quarters, and 15 Dimes.
Answer:
4
Squiggles
Step-by-step explanation:
steps
- convert the length of squiggles from feet to inches
- find the difference
1 feet = 12 inches
2 feet = 2 x 12 = 24 inches
length of squiggles = 24 + 10 = 34 inches
squiggles is longer because 34 is greater than 30
difference = 34 - 30 = 4
Answer: the value of x is 8, the measure of angle A is 42, angles A and B are same side interior angles.
Step-by-step explanation: